## COURSE OVERVIEW

The AMC 8 is a contest for students in grades 8 and below, hosted annually by the American Mathematics Competitions (AMC) to students all over the United States.

The AMC 8 exam is a 25 problem exam. There are 40 minutes given in the exam. Problems increase in difficulty as the problem number increases.The AMC 8 is usually administered in the third week of January. There is a 1-week window for students to take the test.

Contents

• Intro: people intro, course run through, benchmark walkthrough (4 problems – algebra, number theory, counting/probability, geometry)
• Algebra 1: Operations and statistics
• Addition, subtraction, multiplication, exp, division
• Statistics: mean, min, max, median, mode, range
• Special operations
• Algebra 2: Variables and equations
• Single variable linear equations
• Multivariable linear equations
• Manipulation techniques – Substitution, elimination, …
• Simple nonlinear equations
• Algebra 3: Graphing and functions
• Functions and graphing functions: slope, intercept
• Special functions: exp, factorial, square roots
• Algebra 4: Word Problems
• Rate
• Ratio, proportion, percentage
• Calendar (time)
• Algebra 5: Graphs/Tables Interpretation
• Algebra 6: Sequences and Series:
• Arithmetic
• Geometric
• General sequences and series
• Number Theory 1
• Integers
• Basic concepts
• Primes
• Factorization
• GCD LCM
• Number Theory 2
• Modular Arithmetic
• Introduction
• Divisibility
• Units digit
• Divisibility rules
• Counting
• Venn diagram
• Permutation and combination
• Probability concept
• Casework, complimentary
• Geometry 1
• Angles
• Intro, parallel lines, perpendicular lines, angle chasing
• Triangles basic ideas
• Introduction to triangles related to angles
• Geometry 2
• Advanced triangles: area, similarity, pythagorean theorem